59754640 has 60 divisors (see below), whose sum is σ = 152732412. Its totient is φ = 21725440.

The previous prime is 59754623. The next prime is 59754641. The reversal of 59754640 is 4645795.

It can be written as a sum of positive squares in 2 ways, for example, as 7683984 + 52070656 = 2772^2 + 7216^2 .

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 59754593 and 59754602.

It is not an unprimeable number, because it can be changed into a prime (59754641) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6594 + ... + 12766.

Almost surely, 2^59754640 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 59754640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76366206).

59754640 is an abundant number, since it is smaller than the sum of its proper divisors (92977772).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

59754640 is a wasteful number, since it uses less digits than its factorization.

59754640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6208 (or 6191 counting only the distinct ones).

The product of its (nonzero) digits is 151200, while the sum is 40.

The square root of 59754640 is about 7730.1125476930. The cubic root of 59754640 is about 390.9523950912.

The spelling of 59754640 in words is "fifty-nine million, seven hundred fifty-four thousand, six hundred forty".